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Estimate the solution of the system (x+y=4. 2x-y=6) by sketching a graph of each linear function.Then solve the system algebraically.use your estimate to judge the reasonableness of your solution. The estimated solution is ___________________. The algebraic solution is______. The solution is/is not reasonable because __________________________________________________________. ( please help me I'm confused)

Sagot :

I have a hard time graphing so I will use algebra
so x+y=4
2x-y=6
add them together
2x+x+y-y=4+6
3x=10
divide by 3
x=3 and 1/3

subsitute
x+y=4
3 1/3+y=4
subtract 3 1/3 from both sdies
y=2/3

so
x=3 1/3=10/3
y=2/3

the estimated solution is the graphed, visual solution

the algbraic solution is  (in (x,y) form ) (10/3,2/3)

the solution is reasonalble because it works
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